AnswersEHS Content Recovery - Probability and Statistics - Part CUnit Test

Unit Test — Unit test Answers

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At a local veterinary office, 48% of dogs get their teeth cleaned, while 35% of cats get their teeth cleaned. Let and be the sample proportions of dogs and cats at this veterinary office, respectively, who get their teeth cleaned. Suppose 25 dogs and 32 cats from this veterinary office are selected at random to collect data on their teeth-cleaning history.Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of ?

Question illustration
A
The difference (dogs – cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.003 from the true difference in proportions.
B
The difference (dogs – cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.017 from the true difference in proportions.
C
The difference (dogs – cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.
D
The difference (dogs – cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.131 from the true difference in proportions.
22
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A real estate agent in a large city claims to sell 15% of their houses within two months of the original listing. A random sample of 75 listings is chosen, and 9 were sold within two months of the original listing. Let = the proportion of houses in the random sample that were sold within two months.The probability of 12% or fewer of this real estate agent’s listings being sold within two months is 0.295. Does this result provide convincing evidence against the agent’s claim?

Question illustration
A
Yes, it is expected that at least 9 houses will be sold within two months.
B
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely.
C
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
D
No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.
23

A conference consists of 5 sessions: A, B, C, D, and E. Here are the costs of the sessions.Session A: $50Session B: $50Session C: $100Session D: $150Session E: $200

A
$50
B
$66.67
C
$100
D
$200
24

The governor of Florida would like to estimate the mean age of all Florida residents. To do so, he randomly selects 500 Florida residents and determines their mean age to be 58.2 years. However, according the most recent census data, the mean age of all Florida residents is 55.6 years. Which of the following properly describes the number 58.2?

A
sample
B
statistic
C
population
D
parameter
25

The daily temperatures for the winter months in Virginia are Normally distributed with a mean of 59°F and a standard deviation of 10°F. A random sample of 10 temperatures is taken from the winter months and the mean temperature is recorded. What is the mean of the sampling distribution of the sample mean for all possible random samples of size 10 from this population?

A
5.9
B
10
C
18.7
D
59

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